ENA, Section 1.4, Exercise 4b, n=2

Time bar (total: 2.4s)

start0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25.7%74.3%0%0%0%0
100%25.7%0%74.3%0%0%0%1
Compiler

Compiled 25 to 18 computations (28% saved)

sample1.1s (43.1%)

Memory
6.1MiB live, 1 991.6MiB allocated; 496ms collecting garbage
Samples
338.0ms5 145×0valid
304.0ms2 503×1valid
130.0ms608×2valid
Precisions
Click to see histograms. Total time spent on operations: 531.0ms
ival-pow2: 335.0ms (63.1% of total)
adjust: 93.0ms (17.5% of total)
ival-add!: 69.0ms (13% of total)
ival-sub!: 34.0ms (6.4% of total)
Bogosity

preprocess115.0ms (4.7%)

Memory
-4.4MiB live, 41.3MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02262
17454
233854
3166342
4577642
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶71.8%
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Compiler

Compiled 18 to 14 computations (22.2% saved)

series10.0ms (0.4%)

Memory
32.7MiB live, 32.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095365
Stop Event
1×iter-limit
Counts
7 → 23
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
(+.f64 x eps)
x
eps
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (pow (+ x eps) 2) (fma.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) eps)) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx x x)
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (pow (+ x eps) 2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 eps x)))))
#s(approx (pow (+ x eps) 2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 eps x) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (pow (+ x eps) 2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x)))))
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
#s(approx (pow (+ x eps) 2) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow (+ x eps) 2) (fma.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (pow (+ x eps) 2) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (pow (+ x eps) 2) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) eps)))))
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
Calls

6 calls:

TimeVariablePoint
1.0ms
x
-inf
1.0ms
eps
-inf
1.0ms
x
inf
1.0ms
x
0
1.0ms
eps
inf

rewrite101.0ms (4.2%)

Memory
-16.6MiB live, 123.9MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01123
16723
067423
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
7 → 129
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
(+.f64 x eps)
x
eps
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
Outputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x)))) (+.f64 eps x)) (+.f64 eps x))
(*.f64 (+.f64 (+.f64 eps x) x) (-.f64 (+.f64 eps x) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (+.f64 eps x) (+.f64 eps x)))) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x)))) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x))))
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))))
(*.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (neg.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)) (pow.f64 (+.f64 eps x) #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 x x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)) (pow.f64 (+.f64 eps x) #s(literal 4 binary64))))
(neg.f64 (*.f64 (+.f64 x (+.f64 eps x)) (-.f64 x (+.f64 eps x))))
(fma.f64 (*.f64 (+.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 1 binary64))) x (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) (+.f64 (/.f64 eps x) #s(literal 1 binary64))) (*.f64 x x) (*.f64 (neg.f64 x) x))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 x x))) (*.f64 x x) (fma.f64 eps eps (*.f64 (neg.f64 x) x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 x x))) (*.f64 x x) (-.f64 (*.f64 eps eps) (*.f64 x x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)))) (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) x))
(fma.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 (+.f64 eps x)) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 (neg.f64 (+.f64 eps x)) (neg.f64 (+.f64 eps x)) (*.f64 (neg.f64 x) x))
(fma.f64 (exp.f64 (log.f64 (+.f64 eps x))) (exp.f64 (log.f64 (+.f64 eps x))) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x) (*.f64 (neg.f64 x) x))
(fma.f64 (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x)))) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x))))))
(fma.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) (*.f64 x (+.f64 eps x)) (*.f64 (neg.f64 x) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x)))) (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x)))) (*.f64 eps eps)))
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 x) x))
(fma.f64 x (neg.f64 x) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(-.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 x x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))))
(-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (neg.f64 (*.f64 (neg.f64 x) x)))
(-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 x x))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x)))) (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x)))) (*.f64 eps eps)))
(+.f64 (*.f64 (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x))))) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 eps x) (+.f64 eps x))))))
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(+.f64 (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (fma.f64 eps eps (*.f64 (neg.f64 x) x)))
(+.f64 (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (-.f64 (*.f64 eps eps) (*.f64 x x)))
(+.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (+.f64 eps x) (+.f64 (/.f64 eps x) #s(literal 1 binary64))) x)
(*.f64 (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) (+.f64 (/.f64 eps x) #s(literal 1 binary64))) (*.f64 x x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)))) (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)))
(*.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 (+.f64 eps x)))
(*.f64 (neg.f64 (+.f64 eps x)) (neg.f64 (+.f64 eps x)))
(*.f64 (exp.f64 (log.f64 (+.f64 eps x))) (exp.f64 (log.f64 (+.f64 eps x))))
(*.f64 (pow.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) (*.f64 x (+.f64 eps x)))
(*.f64 (+.f64 eps x) (+.f64 eps x))
(pow.f64 (exp.f64 (log.f64 (+.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (+.f64 eps x) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 eps x) (*.f64 (+.f64 eps x) (-.f64 x eps))) (-.f64 x eps))
(/.f64 (*.f64 (+.f64 eps x) (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (+.f64 eps x)) (-.f64 x eps))
(/.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (+.f64 eps x)) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (-.f64 (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (*.f64 eps eps)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps eps) #s(literal 3 binary64))) (fma.f64 (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (*.f64 eps eps)))))
(/.f64 (*.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (*.f64 (+.f64 eps x) (-.f64 x eps))) (*.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (*.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (*.f64 (-.f64 x eps) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (*.f64 (+.f64 eps x) (-.f64 x eps))) (*.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (-.f64 x eps)))
(/.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 eps x) #s(literal 2 binary64)) (*.f64 x x))) (*.f64 x x) (*.f64 eps eps))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 eps eps)))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 eps eps)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 eps eps)))
(fma.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 eps #s(literal 1 binary64)) eps (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 (+.f64 eps x) eps (*.f64 (+.f64 eps x) x))
(fma.f64 (+.f64 eps x) x (*.f64 (+.f64 eps x) eps))
(fma.f64 eps (+.f64 eps x) (*.f64 x (+.f64 eps x)))
(fma.f64 eps eps (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 x (+.f64 eps x) (*.f64 eps (+.f64 eps x)))
(fma.f64 x x (fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 eps eps)))
(-.f64 (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (neg.f64 (*.f64 eps eps)))
(fabs.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) x))
(+.f64 (*.f64 eps (+.f64 eps x)) (*.f64 x (+.f64 eps x)))
(+.f64 (*.f64 x (+.f64 eps x)) (*.f64 eps (+.f64 eps x)))
(+.f64 (fma.f64 eps eps (*.f64 (*.f64 eps x) #s(literal 2 binary64))) (*.f64 x x))
(+.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (*.f64 x (neg.f64 eps)))) (pow.f64 (neg.f64 eps) #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 eps x) x) (*.f64 (+.f64 eps x) eps))
(+.f64 (cosh.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 2 binary64))))
(+.f64 (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)) (*.f64 eps eps))
(+.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps x) #s(literal 2 binary64) (*.f64 x x)))
(+.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 2 binary64) x) eps (*.f64 eps eps)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) x)) x)
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(*.f64 x (+.f64 (/.f64 eps x) #s(literal 1 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 eps eps (*.f64 x (neg.f64 eps)))))
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps))) (neg.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (*.f64 (+.f64 eps x) (-.f64 x eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps))
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(neg.f64 (-.f64 (neg.f64 eps) x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(+.f64 eps x)
(+.f64 x (neg.f64 (neg.f64 eps)))
(+.f64 x eps)
x
eps
#s(literal 2 binary64)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))

eval16.0ms (0.7%)

Memory
2.7MiB live, 47.6MiB allocated; 7ms collecting garbage
Compiler

Compiled 2 927 to 491 computations (83.2% saved)

prune4.0ms (0.2%)

Memory
13.5MiB live, 13.5MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1434147
Fresh000
Picked101
Done000
Total1444148
Accuracy
100.0%
Counts
148 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶88.1%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
▶99.9%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
▶100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
▶63.6%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
Compiler

Compiled 73 to 51 computations (30.1% saved)

series28.0ms (1.2%)

Memory
-18.1MiB live, 70.3MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079395
Stop Event
1×iter-limit
Counts
21 → 28
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
#s(literal 2 binary64)
(*.f64 eps x)
eps
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(pow.f64 eps #s(literal 2 binary64))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (/.f64 x eps))
(/.f64 x eps)
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* 2 (* eps x)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
#s(approx (* eps x) (*.f64 eps x))
#s(approx x x)
#s(approx (+ eps (* 2 x)) eps)
#s(approx (+ eps (* 2 x)) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 eps) (/ (pow eps 2) x)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
#s(approx (+ (* 2 eps) (/ (pow eps 2) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64))) x))
#s(approx (+ 1 (* 2 (/ x eps))) #s(literal 1 binary64))
#s(approx (+ 1 (* 2 (/ x eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
#s(approx (* 2 (/ x eps)) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))
#s(approx (/ x eps) (/.f64 x eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (+ eps (* 2 x)) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (+ (* 2 eps) (/ (pow eps 2) x)) (*.f64 #s(literal 2 binary64) eps))
#s(approx (+ (* 2 eps) (/ (pow eps 2) x)) (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
#s(approx (+ 1 (* 2 (/ x eps))) (*.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (+ eps (* 2 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
#s(approx (+ (* 2 eps) (/ (pow eps 2) x)) (*.f64 eps (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (+ 1 (* 2 (/ x eps))) (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ eps (* 2 x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ (* 2 eps) (/ (pow eps 2) x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ eps (* 2 x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
Calls

6 calls:

TimeVariablePoint
7.0ms
x
inf
4.0ms
x
-inf
3.0ms
eps
-inf
3.0ms
x
0
2.0ms
eps
0

rewrite702.0ms (28.8%)

Memory
-64.0MiB live, 231.1MiB allocated; 1.1s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025152
039138
1202138
02019130
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
21 → 585
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
#s(literal 2 binary64)
(*.f64 eps x)
eps
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(pow.f64 eps #s(literal 2 binary64))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (/.f64 x eps))
(/.f64 x eps)
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps x) (*.f64 eps x))) (*.f64 eps x))
(*.f64 (+.f64 eps eps) x)
(*.f64 (+.f64 x x) eps)
(*.f64 (*.f64 eps x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 x x))
(*.f64 x (+.f64 eps eps))
(/.f64 (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (*.f64 eps x) (*.f64 eps x))) (-.f64 (*.f64 eps x) (*.f64 eps x)))
(/.f64 (+.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps x) (*.f64 eps x) (-.f64 (*.f64 (*.f64 eps x) (*.f64 eps x)) (*.f64 (*.f64 eps x) (*.f64 eps x)))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps x) (*.f64 #s(literal 1 binary64) (*.f64 eps x)))
(fma.f64 (*.f64 eps x) #s(literal 1 binary64) (*.f64 (*.f64 eps x) #s(literal 1 binary64)))
(fma.f64 eps x (*.f64 eps x))
(fma.f64 x eps (*.f64 eps x))
(-.f64 (*.f64 eps x) (neg.f64 (*.f64 eps x)))
(-.f64 (*.f64 eps x) (*.f64 (neg.f64 eps) x))
(-.f64 (*.f64 eps x) (*.f64 (neg.f64 x) eps))
(+.f64 (*.f64 (*.f64 eps x) #s(literal 1 binary64)) (*.f64 (*.f64 eps x) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 eps x)) (*.f64 #s(literal 1 binary64) (*.f64 eps x)))
(+.f64 (*.f64 eps x) (*.f64 eps x))
#s(literal 2 binary64)
(*.f64 eps x)
(*.f64 x eps)
eps
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (*.f64 x (+.f64 (/.f64 (*.f64 eps eps) (*.f64 (+.f64 eps eps) x)) #s(literal 1 binary64))) (+.f64 eps eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 eps eps) x) x) (*.f64 (+.f64 eps eps) x))) (*.f64 (+.f64 eps eps) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (+.f64 x x) eps) eps) eps) (*.f64 eps eps))) (*.f64 eps eps))
(*.f64 (+.f64 (/.f64 (*.f64 eps eps) (*.f64 (+.f64 eps eps) x)) #s(literal 1 binary64)) (*.f64 (+.f64 eps eps) x))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #s(literal 1 binary64))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 eps eps))
(*.f64 (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)) x)
(*.f64 (*.f64 eps eps) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 x (fma.f64 eps (/.f64 eps x) (+.f64 eps eps)))
(/.f64 (*.f64 eps (-.f64 (*.f64 eps eps) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (-.f64 (-.f64 eps x) x))
(/.f64 (*.f64 eps (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 eps eps) eps))) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) eps) (*.f64 eps eps)))
(/.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) x)
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 eps eps)) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 x x)))) (-.f64 (+.f64 eps eps) (/.f64 (*.f64 eps eps) x)))
(/.f64 (*.f64 x (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 eps eps) eps) (pow.f64 (/.f64 (*.f64 eps eps) x) #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 eps eps) (*.f64 (/.f64 (*.f64 eps eps) x) (-.f64 (/.f64 (*.f64 eps eps) x) (+.f64 eps eps)))))
(/.f64 (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) eps)))
(/.f64 (*.f64 (*.f64 eps eps) (+.f64 (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 eps eps) eps)) #s(literal 1 binary64))) (fma.f64 (/.f64 (+.f64 x x) eps) (-.f64 (/.f64 (+.f64 x x) eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 #s(literal 4 binary64) (*.f64 x x))) eps) (-.f64 (-.f64 eps x) x))
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 eps eps) eps)) eps) (fma.f64 (+.f64 x x) (-.f64 (+.f64 x x) eps) (*.f64 eps eps)))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) x) x)
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 eps eps)) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 x x))) x) (-.f64 (+.f64 eps eps) (/.f64 (*.f64 eps eps) x)))
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 eps eps) eps) (pow.f64 (/.f64 (*.f64 eps eps) x) #s(literal 3 binary64))) x) (fma.f64 #s(literal 4 binary64) (*.f64 eps eps) (*.f64 (/.f64 (*.f64 eps eps) x) (-.f64 (/.f64 (*.f64 eps eps) x) (+.f64 eps eps)))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 eps eps) eps)) #s(literal 1 binary64)) (*.f64 eps eps)) (fma.f64 (/.f64 (+.f64 x x) eps) (-.f64 (/.f64 (+.f64 x x) eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (+.f64 eps eps) x) (*.f64 (+.f64 eps eps) x))) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 eps eps) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 eps eps) x) (*.f64 (+.f64 eps eps) x)) (*.f64 (*.f64 (/.f64 (*.f64 eps eps) x) x) (*.f64 (/.f64 (*.f64 eps eps) x) x))) (-.f64 (*.f64 (+.f64 eps eps) x) (*.f64 (/.f64 (*.f64 eps eps) x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 (/.f64 (+.f64 x x) eps) eps) eps) (*.f64 (*.f64 (/.f64 (+.f64 x x) eps) eps) eps))) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 (/.f64 (+.f64 x x) eps) eps) eps)))
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(fma.f64 (/.f64 (/.f64 (+.f64 x x) eps) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x eps) (/.f64 x eps))) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 x eps) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 x x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) eps) x (+.f64 (/.f64 x eps) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 eps)) (+.f64 (/.f64 x eps) #s(literal 1 binary64)))
(fma.f64 (/.f64 (+.f64 x x) eps) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x eps) (+.f64 (/.f64 x eps) #s(literal 1 binary64)))
(fma.f64 (+.f64 x x) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 x eps) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) eps))) (/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) eps))))
(-.f64 (/.f64 (+.f64 x x) eps) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x eps)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) (/.f64 x eps))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x x) eps) (-.f64 (/.f64 (+.f64 x x) eps) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 eps eps) eps)) (fma.f64 (/.f64 (+.f64 x x) eps) (-.f64 (/.f64 (+.f64 x x) eps) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (+.f64 x x) eps) #s(literal 1 binary64))
(+.f64 (/.f64 x eps) (+.f64 (/.f64 x eps) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) eps))
#s(literal 1 binary64)
(*.f64 (/.f64 (/.f64 (+.f64 x x) eps) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x eps) (/.f64 x eps))) (/.f64 x eps))
(*.f64 (/.f64 (/.f64 x eps) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 x x))
(*.f64 (/.f64 (+.f64 x x) eps) #s(literal 1 binary64))
(*.f64 (/.f64 x eps) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) eps))
(*.f64 (+.f64 x x) (/.f64 #s(literal 1 binary64) eps))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 x eps))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) eps)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 x x)) eps)
(/.f64 (fma.f64 (/.f64 x eps) (neg.f64 eps) (neg.f64 x)) (neg.f64 eps))
(/.f64 (fma.f64 (/.f64 x eps) (/.f64 eps x) #s(literal 1 binary64)) (/.f64 eps x))
(/.f64 (fma.f64 (/.f64 x eps) eps x) eps)
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 eps) (*.f64 (neg.f64 x) (neg.f64 eps))) (*.f64 eps eps))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 eps x) (*.f64 #s(literal 1 binary64) (neg.f64 eps))) (*.f64 (neg.f64 eps) (/.f64 eps x)))
(/.f64 (fma.f64 (neg.f64 x) eps (*.f64 x (neg.f64 eps))) (*.f64 (neg.f64 eps) eps))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 eps) (*.f64 (neg.f64 x) (/.f64 eps x))) (*.f64 (/.f64 eps x) (neg.f64 eps)))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 eps x) (*.f64 #s(literal 1 binary64) (/.f64 eps x))) (*.f64 (/.f64 eps x) (/.f64 eps x)))
(/.f64 (fma.f64 #s(literal 1 binary64) eps (*.f64 x (/.f64 eps x))) (*.f64 (/.f64 eps x) eps))
(/.f64 (fma.f64 x (neg.f64 eps) (*.f64 (neg.f64 x) eps)) (*.f64 (neg.f64 eps) eps))
(/.f64 (fma.f64 x (/.f64 eps x) (*.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 eps eps) x))
(/.f64 (-.f64 (*.f64 (/.f64 x eps) (/.f64 x eps)) (*.f64 (/.f64 x eps) (/.f64 x eps))) (-.f64 (/.f64 x eps) (/.f64 x eps)))
(/.f64 (+.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) (pow.f64 (/.f64 x eps) #s(literal 3 binary64))) (fma.f64 (/.f64 x eps) (/.f64 x eps) (-.f64 (*.f64 (/.f64 x eps) (/.f64 x eps)) (*.f64 (/.f64 x eps) (/.f64 x eps)))))
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 eps) (*.f64 (neg.f64 eps) (neg.f64 x))) (*.f64 eps eps))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 eps x) (*.f64 (neg.f64 eps) #s(literal 1 binary64))) (*.f64 (neg.f64 eps) (/.f64 eps x)))
(/.f64 (fma.f64 (neg.f64 x) eps (*.f64 (neg.f64 eps) x)) (*.f64 (neg.f64 eps) eps))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 eps) (*.f64 (/.f64 eps x) (neg.f64 x))) (*.f64 (/.f64 eps x) (neg.f64 eps)))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 eps x) (*.f64 (/.f64 eps x) #s(literal 1 binary64))) (*.f64 (/.f64 eps x) (/.f64 eps x)))
(/.f64 (fma.f64 #s(literal 1 binary64) eps (*.f64 (/.f64 eps x) x)) (*.f64 (/.f64 eps x) eps))
(/.f64 (fma.f64 x (neg.f64 eps) (*.f64 eps (neg.f64 x))) (*.f64 (neg.f64 eps) eps))
(/.f64 (fma.f64 x (/.f64 eps x) (*.f64 eps #s(literal 1 binary64))) (/.f64 (*.f64 eps eps) x))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) eps)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)) (+.f64 eps eps))
(/.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 eps))
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal -1 binary64))
(/.f64 (*.f64 (+.f64 eps eps) x) (*.f64 eps eps))
(/.f64 (/.f64 (+.f64 x x) eps) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 eps (+.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) eps)))
(/.f64 (+.f64 x x) (*.f64 eps #s(literal 1 binary64)))
(/.f64 (+.f64 x x) eps)
(/.f64 #s(literal 2 binary64) (/.f64 eps x))
(fma.f64 (/.f64 #s(literal 1 binary64) eps) x (/.f64 x eps))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 eps)) (/.f64 x eps))
(fma.f64 (/.f64 x eps) #s(literal 1 binary64) (*.f64 (/.f64 x eps) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x eps) (/.f64 x eps))
(fma.f64 x (/.f64 #s(literal 1 binary64) eps) (/.f64 x eps))
(-.f64 (/.f64 x eps) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) eps)))
(-.f64 (/.f64 x eps) (neg.f64 (/.f64 x eps)))
(+.f64 (*.f64 (/.f64 x eps) #s(literal 1 binary64)) (*.f64 (/.f64 x eps) #s(literal 1 binary64)))
(+.f64 (/.f64 (/.f64 x eps) #s(literal 1 binary64)) (/.f64 (/.f64 x eps) #s(literal 1 binary64)))
(+.f64 (/.f64 x eps) (/.f64 x eps))
(*.f64 (/.f64 #s(literal 1 binary64) eps) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 eps)))
(*.f64 #s(literal 1 binary64) (/.f64 x eps))
(*.f64 x (/.f64 #s(literal 1 binary64) eps))
(pow.f64 (/.f64 eps x) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal 1 binary64)) eps)
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 eps)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 eps x)))
(/.f64 (neg.f64 x) (neg.f64 eps))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 eps x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 eps x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 eps x)))
(/.f64 x eps)
(neg.f64 (/.f64 x (neg.f64 eps)))
(neg.f64 (/.f64 (neg.f64 x) eps))

eval61.0ms (2.5%)

Memory
-29.5MiB live, 158.4MiB allocated; 20ms collecting garbage
Compiler

Compiled 10 874 to 1 623 computations (85.1% saved)

prune8.0ms (0.3%)

Memory
32.8MiB live, 32.8MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4135418
Fresh000
Picked404
Done000
Total4175422
Accuracy
100.0%
Counts
422 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps)))
▶100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
▶63.6%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
▶100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
▶69.9%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
Compiler

Compiled 170 to 110 computations (35.3% saved)

series17.0ms (0.7%)

Memory
-19.1MiB live, 43.0MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076273
Stop Event
1×iter-limit
Counts
19 → 20
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps)))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(+.f64 x x)
x
eps
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
(*.f64 eps #s(approx (+ eps (* 2 x)) eps))
#s(approx (+ eps (* 2 x)) eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
(*.f64 (+.f64 x x) eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
(*.f64 eps (+.f64 (+.f64 eps x) x))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 #s(literal 2 binary64) (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx x x)
#s(approx (+ eps (* 2 x)) eps)
#s(approx (+ eps (* 2 x)) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
#s(approx (* (+ x x) eps) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (+ eps (* 2 x)) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x))))
#s(approx (+ eps x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -2 binary64) eps (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))))
#s(approx (+ eps (* 2 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
#s(approx (+ eps x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ eps (* 2 x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
#s(approx (+ eps x) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (+ eps (* 2 x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (+ eps x) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
Calls

6 calls:

TimeVariablePoint
7.0ms
x
0
1.0ms
eps
-inf
1.0ms
x
-inf
1.0ms
x
inf
1.0ms
eps
inf

rewrite45.0ms (1.9%)

Memory
-2.3MiB live, 85.6MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025148
035138
0203138
Stop Event
1×iter-limit
1×iter-limit
1×iter-limit
1×unsound
1×iter-limit
Counts
19 → 132
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps)))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(+.f64 x x)
x
eps
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
(*.f64 eps #s(approx (+ eps (* 2 x)) eps))
#s(approx (+ eps (* 2 x)) eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
(*.f64 (+.f64 x x) eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
(*.f64 eps (+.f64 (+.f64 eps x) x))
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))) (*.f64 (+.f64 x x) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (-.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 eps eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps)))))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 (+.f64 x x) eps))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (+.f64 x x) eps))
(fma.f64 (+.f64 eps x) eps (*.f64 x eps))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(fma.f64 eps (+.f64 eps x) (*.f64 eps x))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(-.f64 (*.f64 (+.f64 x x) eps) (*.f64 (neg.f64 eps) eps))
(-.f64 (*.f64 (+.f64 x x) eps) (neg.f64 (*.f64 eps eps)))
(+.f64 (*.f64 eps (+.f64 eps x)) (*.f64 eps x))
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x eps))
(+.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps))
(+.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(-.f64 x (neg.f64 x))
(+.f64 x x)
x
eps
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 eps #s(literal 2 binary64))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(approx (+ eps (* 2 x)) eps) eps))
(*.f64 #s(approx (+ eps (* 2 x)) eps) eps)
(*.f64 eps #s(approx (+ eps (* 2 x)) eps))
#s(approx (+ eps (* 2 x)) eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
(*.f64 (+.f64 x x) eps)
(*.f64 eps (+.f64 x x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))) (*.f64 (+.f64 x x) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (-.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 eps eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps)))))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 (+.f64 x x) eps))
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(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(-.f64 (*.f64 (+.f64 x x) eps) (*.f64 (neg.f64 eps) eps))
(-.f64 (*.f64 (+.f64 x x) eps) (neg.f64 (*.f64 eps eps)))
(+.f64 (*.f64 eps (+.f64 eps x)) (*.f64 eps x))
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x eps))
(+.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps))
(+.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 eps x))) (+.f64 eps x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) eps)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps (+.f64 x x))) (+.f64 x x))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) (+.f64 x x))) (-.f64 eps (+.f64 x x)))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps eps)) (-.f64 (+.f64 x x) eps))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (-.f64 (*.f64 x x) (*.f64 (+.f64 eps x) x))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 (+.f64 x x) eps))))
(/.f64 (+.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (+.f64 x x) (+.f64 x x) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))))
(/.f64 (-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 x x)) (-.f64 (+.f64 eps x) x))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x eps)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps x)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(-.f64 (+.f64 eps x) (neg.f64 x))
(-.f64 (+.f64 x x) (neg.f64 eps))
(-.f64 eps (*.f64 #s(literal -2 binary64) x))
(-.f64 eps (neg.f64 (+.f64 x x)))
(+.f64 (+.f64 eps x) x)
(+.f64 (+.f64 x x) eps)
(+.f64 eps (+.f64 x x))
(+.f64 x (+.f64 eps x))
#s(literal 2 binary64)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))) (*.f64 (+.f64 x x) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (-.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 eps eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x x) eps) (*.f64 (+.f64 x x) eps) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps)))))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (*.f64 (+.f64 x x) eps))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 (+.f64 x x) eps))
(fma.f64 (+.f64 eps x) eps (*.f64 x eps))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(fma.f64 eps (+.f64 eps x) (*.f64 eps x))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(-.f64 (*.f64 (+.f64 x x) eps) (*.f64 (neg.f64 eps) eps))
(-.f64 (*.f64 (+.f64 x x) eps) (neg.f64 (*.f64 eps eps)))
(+.f64 (*.f64 eps (+.f64 eps x)) (*.f64 eps x))
(+.f64 (*.f64 (+.f64 eps x) eps) (*.f64 x eps))
(+.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps))
(+.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 eps x))) (+.f64 eps x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) eps)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps (+.f64 x x))) (+.f64 x x))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) (+.f64 x x))) (-.f64 eps (+.f64 x x)))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps eps)) (-.f64 (+.f64 x x) eps))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (-.f64 (*.f64 x x) (*.f64 (+.f64 eps x) x))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 (+.f64 x x) eps))))
(/.f64 (+.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (+.f64 x x) (+.f64 x x) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))))
(/.f64 (-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 x x)) (-.f64 (+.f64 eps x) x))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x eps)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x)
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps x)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(-.f64 (+.f64 eps x) (neg.f64 x))
(-.f64 (+.f64 x x) (neg.f64 eps))
(-.f64 eps (*.f64 #s(literal -2 binary64) x))
(-.f64 eps (neg.f64 (+.f64 x x)))
(+.f64 (+.f64 eps x) x)
(+.f64 (+.f64 x x) eps)
(+.f64 eps (+.f64 x x))
(+.f64 x (+.f64 eps x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)
(/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 x eps))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 x eps))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(+.f64 eps x)
(+.f64 x eps)

eval18.0ms (0.7%)

Memory
1.9MiB live, 43.6MiB allocated; 4ms collecting garbage
Compiler

Compiled 1 936 to 364 computations (81.2% saved)

prune5.0ms (0.2%)

Memory
14.4MiB live, 14.4MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New87087
Fresh000
Picked055
Done000
Total87592
Accuracy
100.0%
Counts
92 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps)))
✓100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
✓63.6%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
✓100.0%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
✓69.9%
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
Compiler

Compiled 85 to 55 computations (35.3% saved)

regimes149.0ms (6.1%)

Memory
45.1MiB live, 141.5MiB allocated; 77ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
3 → 2
6 → 1
10 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
Call 2
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
Call 3
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
Call 4
Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps #s(approx (+ eps (* 2 x)) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 x x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 #s(literal 2 binary64) (*.f64 eps x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 (+.f64 eps x) x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 x (fma.f64 #s(literal 2 binary64) eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 x x) eps (*.f64 eps eps)))
Calls

12 calls:

68.0ms
x
38.0ms
eps
24.0ms
eps
3.0ms
x
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
69.9%1eps
69.9%1x
69.9%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
98.0%2(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
92.8%3x
85.6%3eps
100.0%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
100.0%1x
100.0%1eps
100.0%1(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
100.0%1x
100.0%1eps
Compiler

Compiled 211 to 92 computations (56.4% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
5e-324
Compiler

Compiled 12 to 12 computations (0% saved)

derivations76.0ms (3.1%)

Memory
-30.5MiB live, 68.5MiB allocated; 62ms collecting garbage
Stop Event
1×done
Compiler

Compiled 99 to 29 computations (70.7% saved)

preprocess31.0ms (1.3%)

Memory
37.0MiB live, 83.7MiB allocated; 9ms collecting garbage
Compiler

Compiled 108 to 36 computations (66.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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